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Finding the Fourth Proportional to 2,387.47, 3,568.60 and 2,152.77

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Solution

The fourth proportional to 2,387.47, 3,568.60 and 2,152.77 is: 3,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.47 : 3,568.60 = 2,152.77 : x
  2. Step 2: Convert to fraction form
    2,387.47/3,568.60 = 2,152.77/x
  3. Step 3: Cross multiply
    2,387.47x = 3,568.60 × 2,152.77
  4. Step 4: Simplify right side
    2,387.47x = 7,682,364.26
  5. Step 5: Solve for x
    x = 7,682,364.26/2,387.47
  6. Step 6: Final answer
    x = 3,217.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.